Search a number
-
+
20470921236480 = 212351113172359101
BaseRepresentation
bin1001010011110010000011…
…11111010001000000000000
32200111000000200211222101210
410221321001333101000000
510140343421314031410
6111312113354330120
74211655340340121
oct451710177210000
980430020758353
1020470921236480
11658273a3a9070
12236749a129940
13b56526b8a260
1450ab25520048
15257767bb4220
hex129e41fd1000

20470921236480 has 3328 divisors, whose sum is σ = 87315755950080. Its totient is φ = 4013948928000.

The previous prime is 20470921236397. The next prime is 20470921236523. The reversal of 20470921236480 is 8463212907402.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 202682388430 + ... + 202682388530.

Almost surely, 220470921236480 is an apocalyptic number.

20470921236480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20470921236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43657877975040).

20470921236480 is an abundant number, since it is smaller than the sum of its proper divisors (66844834713600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20470921236480 is a wasteful number, since it uses less digits than its factorization.

20470921236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 20470921236480 in words is "twenty trillion, four hundred seventy billion, nine hundred twenty-one million, two hundred thirty-six thousand, four hundred eighty".